Posted by **lily** on Tuesday, October 13, 2009 at 8:52pm.

What is 7(y+3)+2y simplified? and if possible, can you break down how you got it?

Simplifying equations confuses me easily.

- math -
**Ms. Sue**, Tuesday, October 13, 2009 at 8:55pm
7(y+3)+2y

7y + 21 + 2y

9y + 21

- math -
**Tasuba**, Tuesday, October 13, 2009 at 8:56pm
7(y+3)-2y

multiply 7 with y and 3

7y+21-2y

collect like terms

7y-2y+21

5y+21

Done

- math -
**Ms. Sue**, Tuesday, October 13, 2009 at 8:57pm
Tasuba -- I think you've misread the problem. I don't see any minus signs in the original problem.

- math -
**Christiaan**, Tuesday, October 13, 2009 at 9:01pm
The first thing you should do is try to remove the brackets. You can do this by using distributivity. In symbols, this means the following:

a*(b + c) = a*b + a*c

As you can see, the first term of the equation is 7*(y+3)

So, using distributivity, we find that

7*(y+3) = 7*y + 7*3 = 7y + 21

So, the equation can be simplified in the following manner:

7(y+3)+2y = 7y + 21 + 2y

Now, we have to terms with y. if we put them together, we get:

7y + 2y + 21

If we use the formula of distributivity in reverse, we find that:

7y + 2y = (7+2)*y = 9y

So, the equation can be further simplified in the following manner:

7y+2y+21 = 9y + 21

## Answer this Question

## Related Questions

- math - 5 sq ft= ___ in I have that this converts to 720 square inches but cannot...
- CP Algebra - 15y^2-30y-45 ____________ 5y^2+10y-15 this is simplifying ...
- algebra - simplify:(3x0 ynegative 4)(2x2 y)3 this is hard to break down but i ...
- algebra - so the answer is 6 x6/y or 24 x6/y simplify:(3x0 ynegative 4)(2x2 y)3 ...
- bus stats - A manufacturing company has 5 identical machines that produce nails...
- 4th Grade Math - Re: Factor Numbers My son has to write at least two ways to ...
- 4th Grade Math - Re: Factor Numbers My son has to write at least two ways to ...
- math,simplifying - can someone help me if possible simplifying this fraction ...
- AP CALCULUS HELP - first, we must find 2z(dz/dt)=2x(dx/dt) + 2y(2y/dt) ...
- Algebra - A few questions on simplifying rational expressions... 1). 15x^2/10x ...

More Related Questions